rr pr 81-k rr + pr code no. 81-kkseeb.kar.nic.in/docs/2015/81-k-rr_pr.pdf · rr+pr 7 81-k 4123251...
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RR+PR 1 81-K
4123251 RR+PR-5001 [ Turn over
: 81-K
Code No. : 81-K
Subject : MATHEMATICS ( / Kannada Version )
( / Old Syllabus )
( + / Regular Repeater + Private Repeater )
i)
58
ii)
iii)
iv)
v)
vi) / / /
vii) 15
viii)
ix)
RR + PR
81-K 2 RR+PR
4123251 RR+PR-5001
I.
20 × 1 = 20
1. U = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }, A = { 0, 2, 4, 6, 8 }
B = { 0, 1, 2, 3, 5 } ( A B ) l
(A) ( 0, 1, 2, 3, 4, 5, 6, 8 ) (B) ( 1, 3, 5, 7, 9 )
(C) ( 7, 9 ) (D) ( 1, 3, 4, 5, 6, 7, 8, 9 )
2.
(A) A ( B C ) = A ( B C )
(B) ( A B ) l = A l B l
(C) A B = A B
(D) A ( B C ) = ( B C ) A
3. nT = 4 – 5n 2T
(A) 9 (B) – 6
(C) 14 (D) 4
4. A, G, H a b
( A.M. ), ( G.M. ) ( H.M. )
(A) A, G, H
(B) A, G, H
(C) A, G, H
(D)
5. A =
34
20 B =
24
31 A + B
(A)
10
10 (B)
58
51
(C)
616
61 (D)
10
11
RR+PR 3 81-K
4123251 RR+PR-5001 [ Turn over
6. 3Pn
(A) n ( n – 1 ) (B) n ( n – 2 ) ( n – 3 )
(C) n ( n – 1 ) ( n – 2 ) (D) n ( n – 1 ) ( n – 3 )
7. 10 – 19
(A) 14·5 (B) 15
(C) 15·5 (D) 16
8. A × B = H × L H
(A) A × B – L (B) A × B × L
(C) L
BA (D)
BAL
9. ( a + b ) 2 – ( a – b ) 2
(A) 4ab (B) 2ab
(C) 224 ba (D) 22 ba
10. yx 32 yx 5
(A) yx 2 (B) yx 43
(C) yx 8 (D) yx 27
11. 622 x x
(A) + 4 – 4 (B) + 8 – 8
(C) + 2 – 2 (D) – 1 + 1
12. 02 cbxax
(A) a
acbb
2
42 (B)
a
acbb
2
42
(C) a
acbb
2
42 (D)
a
acbb
2
22
13. 02 2 xx
(A) 2
10 (B) 2 1
(C) – 2
1 0 (D) – 2 – 1
81-K 4 RR+PR
4123251 RR+PR-5001
14. 0152 2 xx ( ) 33
(A) (B)
(C) (D)
15.
(A) (B)
(C) (D)
16. PQR PQR = 90°
(A) 222 QRPRPQ (B) 222 QRPRPQ
(C) 222 PRPQQR (D) 222 PQPRQR
17.
(A) 1 (B) 4
(C) 5 (D) 3
RR+PR 5 81-K
4123251 RR+PR-5001 [ Turn over
18. r
(A) 22 r (B) 2rh
(C) 23 r (D) 3
3
2r
19. 10 28
(A) 440 (B) 220
(C) 660 (D) 880
20.
(A) 4, 4 6 (B) 4, 6, 4
(C) 6, 4 2 (D) 6, 8 12
II. 10 × 1 = 10
21. A B n ( A B ) =
.................... .
22. n nT
a
( c.d. ) ............................... .
23. A =
24
23 A l
= ............................ .
24. X = 25, = 5 .................. .
25. a + b + c = 0 333 cba ...................... .
26. ( 5x – 10 ) ( x – 2 ) .............................. .
27. yx 3 ......................................... .
28. A = 2r r ................................. .
29. m n
........................................ .
81-K 6 RR+PR
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30.
......................... .
III.
31. A = { 5, 7, 9 }, B = { 7, 9, 11 } C = { 9, 11 }
2
32. 7 + 10 + 13 + ........ 50 2
33. 6 3 2
34. A =
43
21 B =
10
01 AB 2
35. 24 12 PP nn n 2
36. )( cba
abc
. 2
37. a + b + c = 2s )(42222 cssabcba 2
38. 23
5
2
39. 0132 2 xx
2
40. ( 0, 2, 4, 6, 8 ) 10 2
41. 3 6
2
42. EB || DC, AB = P – 3, BC = 2P – 2 41
EDAE
P
2
RR+PR 7 81-K
4123251 RR+PR-5001 [ Turn over
43. ABC ||| PQR, ABC 36 PQR
25 QR = 6 ABC QR
2
44. 12 2
45. O A AB
OBA = 45° AB = OA 2
46.
2
[ 40 = 1 ]
C
220
D 120 210
120 B 200
E 180 80
A
47.
212
102
222
2
48. 2
IV.
49. 5 4 (i)
4 (ii)
4 2
3
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50.
3
1 — 5 6 — 10 11 — 15 16 — 20
2 3 4 1
51. 10132 23 xxx 81023 xxx
3
52. 4 48
3
53.
3
54. 462
3
V.
55. 9 5 3
4
56.
4
57. 31 125.
4
58. 2xy y = 2x + 3 0322 xx
4